Triangulated Categories, Derived Categories, Sheaves, Cohomology Theories, Applications to Geometry and Topology.
Familiarity with homological algebra, conceptualization of several cohomology theories, command over algebraic machinery of use in geometry and topology.
Sheaves on Manifolds, Kashiwara and Schapira
Sheaves in Topology, Dimca
Lectures on Derived Categories, Milicic
Stacks Project - Chapters 4, 6, 12, 13, 17, 19, 20, 30, 36, 47, 48, 50, 51.